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101344143312 = 24323072292439
BaseRepresentation
bin101111001100010010…
…1001110011111010000
3100200120211212220020100
41132120211032133100
53130023100041222
6114320140412400
710215255001446
oct1363045163720
9320524786210
10101344143312
1139a86143945
1217783b47100
139731132109
144c95792b96
1529822494ac
hex179894e7d0

101344143312 has 60 divisors (see below), whose sum is σ = 284546822560. Its totient is φ = 33671329344.

The previous prime is 101344143289. The next prime is 101344143331. The reversal of 101344143312 is 213341443101.

101344143312 is a `hidden beast` number, since 1 + 0 + 1 + 344 + 1 + 4 + 3 + 312 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1102012 + ... + 1190427.

Almost surely, 2101344143312 is an apocalyptic number.

101344143312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101344143312 is an abundant number, since it is smaller than the sum of its proper divisors (183202679248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101344143312 is a wasteful number, since it uses less digits than its factorization.

101344143312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292760 (or 2292751 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 101344143312 its reverse (213341443101), we get a palindrome (314685586413).

The spelling of 101344143312 in words is "one hundred one billion, three hundred forty-four million, one hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 307 614 921 1228 1842 2456 2763 3684 4912 5526 7368 11052 14736 22104 44208 2292439 4584878 6877317 9169756 13754634 18339512 20631951 27509268 36679024 41263902 55018536 82527804 110037072 165055608 330111216 703778773 1407557546 2111336319 2815115092 4222672638 5630230184 6334008957 8445345276 11260460368 12668017914 16890690552 25336035828 33781381104 50672071656 101344143312